Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

What about integrals along a curve and on the surface? How it may be presented by MAPLE tools?

I was trying to solve a VERY simple system of 2 equations,{ eq1,eq2}, for the variable d which appears only once to the first degree with coefficient 1. That is grade school algebra. Maple 15 refused; it needed help.

restart;
eq1:=s=a+b+c+d;
                    eq1 := s = a + b + c + d
eq2:=s=2*(a+b)*(a+c)*(b+c);
             ...

How to laplace transform for hypergeometric form in maple

if rsolve is solving difference equation for L(x) in summation(L*z^n, n=0..infinity)

can i use double encapsulation to solve for summation(L*z^n/n!, n=0..finity)

step 1 use rsolved result of a given classic difference equation times z^n/n! * t^n

step 2 then summation step 1 and use celine method to change into difference equation again

step 3 solve this new difference equation

then i imagine L should be L*z^n/n!

but i am not sure...

I have

f(x,y)=x y+x^2+1

and

g(t)=(2 t, 3 t).

I want to obtain the function (f o g)(t)  as a real-to-real one variable function.

What I tried:

f:=(x,y) -> x y+x^2+1,   it's ok;

g:=t -> <2 t, 3 t>,  it's ok.

But f@g  returns f@g.

How it would be possible to obtain f o g ?

Hi,

I would like to know if the maple student version can give the analytic solutions of a system of non linear and/or linear equations. 

thanks

 

 Hi,

I have the following set of equations and boundary conditions. The problem is I cannot be able to make accurate guesses with the shooting method. I request your assistance. 

> k1 := diff(X[1](t), t) = X[2](t);
> k2 := diff(X[2](t), t) = M*(X[1](t)-1)-(2*(eta+b))*X[2](t);
> k3 := diff(X[3](t), t) = X[4](t);
> k4 := diff(X[4](t), t) = (2*Sc*Du*(eta+b)*X[6](t)-Du*lambda*X[5](t)-2*Pr*(eta+b)*X[4](t)-Pr*Ec*X[2](t)^2-Pr*Ec*M*(X[1](t)-1)^2)/(1-Du*Sr);

Hello everyone,

I have data in Excel sheet. I want to make the data smooth using cubic spline. 

My try can be found in the attached maple sheet. In my try, i was unable to see the

difference bewteen the exact data and the interpolated data. Please have a look and

help to smooth the given data in the attached Excel sheet.

Cubic_spline_smoothi.mw

i have a problem when i input this code in maple,..

how it can be error?

what the solve?

thanks for help me

the code:


> with(plots); with(DEtools); with(plottools); a := 0, 5; b := 0, 2; c := 0, 7; d := 0, 2; E := 0, 1;
                                    0, 5

i have a problem when i input this code in maple,..

how it can be error?

what the solve?

thanks for help me

the code:


> with(plots); with(DEtools); with(plottools); a := 0, 5; b := 0, 2; c := 0, 7; d := 0, 2; E := 0, 1;
                                    0, 5

The following commands can be plotted by maple 13&15,
but can't be done by 16.

restart;
x1 := sech(sqrt(a)*t); x2 := -sech(sqrt(a)*t)*tanh(sqrt(a)*t);
g1 := proc (t) options operator, arrow; int((int((eval(x2, t = tau))*sin(Omega*tau), tau = 0 .. u))/(eval(x2, t = u))^2, u = 0 .. t) end proc;
plot3d(subs(a = 1, g1(t)), Omega = 0 .. 3, t = 0 .. 1);
g2 := proc (t) options operator, arrow; int((int((eval(x2, t = tau))*cos(Omega*tau), tau = 0 .. u))/(eval(x2, t = u...

Something like this

This example was reported to me after a Calculus II student encountered this ridiculous result:

f := (k+5)/sqrt(k^7+k^2):
Int( f, k=1..infinity ):
% = value( % );
/infinity
| k + 5
| -------------- dk = -infinity
| (1/2)
/1 / 7 2\
\k + k /

Chebyshev polynomials have the form:

 

Tn(x) = cos(n*arccos(x))

 

orthogonality interval is (-1, 1) for n = (2, 3, 4,

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